Remark to the comparison of solution properties of Love's equation with those of wave equation

Věra Radochová

Aplikace matematiky (1978)

  • Volume: 23, Issue: 3, page 199-207
  • ISSN: 0862-7940

Abstract

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In the paper some solution properties of the Love's equation are compared with those of the classical wave equation for a certain class of boundary conditions. The method of small parameter is used.

How to cite

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Radochová, Věra. "Remark to the comparison of solution properties of Love's equation with those of wave equation." Aplikace matematiky 23.3 (1978): 199-207. <http://eudml.org/doc/15050>.

@article{Radochová1978,
abstract = {In the paper some solution properties of the Love's equation are compared with those of the classical wave equation for a certain class of boundary conditions. The method of small parameter is used.},
author = {Radochová, Věra},
journal = {Aplikace matematiky},
keywords = {Love’s equation; boundary value conditions; small parameters; wave equation; Love's Equation; Boundary Value Conditions; Small Parameters; Wave Equation},
language = {eng},
number = {3},
pages = {199-207},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Remark to the comparison of solution properties of Love's equation with those of wave equation},
url = {http://eudml.org/doc/15050},
volume = {23},
year = {1978},
}

TY - JOUR
AU - Radochová, Věra
TI - Remark to the comparison of solution properties of Love's equation with those of wave equation
JO - Aplikace matematiky
PY - 1978
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 23
IS - 3
SP - 199
EP - 207
AB - In the paper some solution properties of the Love's equation are compared with those of the classical wave equation for a certain class of boundary conditions. The method of small parameter is used.
LA - eng
KW - Love’s equation; boundary value conditions; small parameters; wave equation; Love's Equation; Boundary Value Conditions; Small Parameters; Wave Equation
UR - http://eudml.org/doc/15050
ER -

References

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  1. Petrovskij I. G., Partial Differential Equations, Prague 1952 (in Czech). (1952) MR0057425
  2. Love A. E. H., A Treatise on the Mathematical Theory of Elasticity, Cambridge 1952. (1952) 
  3. Brepta R., Prokopec M., Stress Waves and Shocks in Solids, Academia 1972 (in Czech), (1972) 
  4. Radochová V., Das Iterationsverfahren für eine partielle Differentialgleichung vierter Ordnung, Arch. Math. (Brno) 1, IX, 1973, 1 - 8. (1973) MR0350165
  5. Вишик M. И., Люстерник Л. А., Регулярное вырождение и пограничный слой для линейных дифференциальных уравнений с малым параметром, Успехи мат. наук XII, 1957, 3-122. (1957) Zbl0995.90594
  6. Levinson N., The First Boundary Value Problem ε Δ u + A u x + B u y + C u = 0 for Small ε , Ann. of Math. 51, No 2, 1950, 428-445. (1950) MR0033433
  7. Kreith K., Sturmian Theorems for Hyperbolic Equations, Proceedings of the Amer. Math. Soc. 22, 1969, 277-281. (1969) Zbl0176.09304MR0244602

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